98771400 has 480 divisors, whose sum is σ = 428514240. Its totient is φ = 20528640.

The previous prime is 98771371. The next prime is 98771401. The reversal of 98771400 is 417789.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (98771401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1474167 + ... + 1474233.

It is an arithmetic number, because the mean of its divisors is an integer number (892738).

Almost surely, 2^98771400 is an apocalyptic number.

98771400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98771400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214257120).

98771400 is an abundant number, since it is smaller than the sum of its proper divisors (329742840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98771400 is a wasteful number, since it uses less digits than its factorization.

98771400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 98771400 is about 9938.3801497025. The cubic root of 98771400 is about 462.2501596807.

The spelling of 98771400 in words is "ninety-eight million, seven hundred seventy-one thousand, four hundred".